Given:
The equation given is ,
[tex]x^2+30x+150=-75[/tex]Required:
To solve the equation by factoring.
Answer:
Let us solve the equation by factoring it.
[tex]\begin{gathered} x^2+30x+150=-75 \\ x^2+30x+150+75=0 \\ x^2+30x+225=0 \\ x^2+15x+15x+225=0 \\ x(x+15)+15(x+15)=0 \\ (x+15)(x+15)=0 \\ (x+15)=0,(x+15)=0 \\ x=-15,-15 \end{gathered}[/tex]Final Answer:
The solution of the given equation is,
[tex]x=-15,-15[/tex]